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定常Stokes方程一种基于完全区域分解的有限元并行算法
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O246[理学—计算数学;理学—数学] O242.21[理学—计算数学;理学—数学]
  • 作者机构：[1]贵州师范大学数学与计算机科学学院,贵阳550001, [2]西安交通大学理学院,西安710049
  • 相关基金：国家自然科学基金资助项目（10971166）; 国家基础研究基金资助项目（2005CB321703）; 贵州省科学技术基金资助项目（2008（2123））,致谢 感谢西安交通大学理学院智能信息处理与计算实验室为本文提供了并行数值试验平台.
作者： 尚月强[1], 何银年[2]
关键词： Stokes方程, 有限元方法, 并行算法, 完全区域分解, Stokes equations, finite element, parallel algorithm, full domain partition
中文摘要：

基于完全区域分解技巧,提出了一种求解定常Stokes方程的有限元并行算法.该算法中,所有子问题都是定义在整个求解区域上,但绝大部分自由度来自其所负责的子区域,从而使得算法稍加修改现有的串行程序即可实现相应的并行计算,实现简单,通信需求少.数值结果验证了算法的高效性.

英文摘要：

Based on full domain partition,a parallel finite element algorithm for the stationary Stokes equations was proposed and analyzed.In this algorithm,each subproblem was defined in the entire domain with the vast majority of the degrees of freedom associated with the particular subdomain that it was responsible for,and hence could be solved in parallel with other subproblems using an existing sequential solver without extensive recoding,allowing the algorithm to be implemented easily with low communication costs.Some numerical results are given which demonstrate the high efficiency of the parallel algorithm.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
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  • 被引量:8965